Answer:
The y-intercept is -15.
Step-by-step explanation:
y - 5 = 5(x - 4) is our equation in point-slope form.
point slope form is = y - y1 = m( x - x1)
So, we know that the slope is 5 and one point is (4, 5)
We can use this point and the slope to find the y -intercept.
y = mx + b is slope intercept form.
Let's input the values we know to find the y-intercept.
5 = 5(4) + b
5 = 20 + b
-15 = b
The y-intercept is -15.
Answer:
Shown below
Explanation: The (x,y)—coordinates— of the points is also shown :)
Answer:
5/14 ≈ 35.7%
Step-by-step explanation:
(12 +6) = 18 of the 28 students earned an A or a B. So, the experimental probability that a student did not earn that grade is ...
p(<B) = (28 -18)/28 = 10/28
p(<B) = 5/14 ≈ 35.7%
Answer:
Step-by-step explanation:
x = cos θ + sin(10θ)
y = sin θ + cos(10θ)
Take derivative with respect to θ:
dx/dθ = -sin θ + 10 cos(10θ)
dy/dθ = cos θ - 10 sin(10θ)
Divide:
dy/dx = (dy/dθ) / (dx/dθ)
dy/dx = (cos θ - 10 sin(10θ)) / (-sin θ + 10 cos(10θ))
Evaluate the derivative at θ=0:
dy/dx = (cos 0 - 10 sin 0) / (-sin 0 + 10 cos 0)
dy/dx = 1/10
Evaluate the parametric functions at θ=0:
x = cos 0 + sin 0 = 1
y = sin 0 + cos 0 = 1
Writing the equation of the tangent line in point-slope form:
y - 1 = 1/10 (x - 1)
